Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99097We solve the inverse spectral problems for the class of Sturm--Liouville operators with singular real-valued potentials from the Sobolev space W^{s-1}_2(0,1), s\in[0,1]. The potential is recovered from two spectra or from the spectrum and norming constants. Necessary and sufficient conditions on the spectral data to correspond to the potential in W^{s-1}_2(0,1) are established.16 pagesFunctional AnalysisClassical Analysis and ODEsPrimary 34A55, Secondary 34B24, 34L05, 34L20Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scaletext